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Консультация № 191801
19.11.2017, 12:11
0.00 руб.
0
4
1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
На векторах а(7,1,1) и в(1,1,7) построен параллелограмм. Найти:а) угол между диагоналями параллелограмма. б) площадь параллелограмма, в) высоту параллелограмма, опущенную на вектор в.
С первыми двумя вопросами вроде справилась: а) ответ 90 градусов, б) ответ 48,744(ед)2 а вот с высотой проблема, не пойму как ее найти. Помогите разобраться. Спасибо.
На векторах а(7,1,1) и в(1,1,7) построен параллелограмм. Найти:а) угол между диагоналями параллелограмма. б) площадь параллелограмма, в) высоту параллелограмма, опущенную на вектор в.
С первыми двумя вопросами вроде справилась: а) ответ 90 градусов, б) ответ 48,744(ед)2 а вот с высотой проблема, не пойму как ее найти. Помогите разобраться. Спасибо.
Обсуждение
19.11.2017, 12:22
общий
Адресаты:
Что представляет собой параллелограмм, диагонали которого взаимно перпендикулярны?
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.11.2017, 12:37
общий
19.11.2017, 12:38
Адресаты:
Вы очень долго думаете над элементарным вопросом. Вот Вам информация к размышлению:
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.11.2017, 13:34
общий
это ответ
Здравствуйте, Polina!
(ед. площади) - площадь параллелограмма,
(ед. длины) - искомая длина высоты ромба.
Можно, конечно, решить эту задачу, используя исключительно векторную алгебру. Но я не вижу в этом смысла.
(ед. площади) - площадь параллелограмма,его диагонали взаимно перпендикулярны, поэтому он является ромбом (это видно и из равенства сторон, поэтому вычислять угол между диагоналями не нужно: он прямой),
из курса элементарной геометрии известно, что все высоты ромба равны между собой, поэтому
(ед. длины) - искомая длина высоты ромба.Можно, конечно, решить эту задачу, используя исключительно векторную алгебру. Но я не вижу в этом смысла.
5
БОЛЬШОЕ СПАСИБО ЗА ПОМОЩЬ!
Об авторе:
Facta loquuntur.
Facta loquuntur.
19.11.2017, 13:58
общий
Адресаты:
Polina Андрей, большое спасибо вам, школу закончили еще 20 лет назад, поэтому сейчас нелегко всё вспоминать. Помогаю мужу в обучении в универе)). Еще раз спасибо!
Спасибо за добрые слова! Но не нужно было адресовать такое сообщение всем модераторам. Можно было только мне.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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